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Finding the Third Proportional to 55,733 and 121,834

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Solution

The third proportional to 55,733 and 121,834 is: 266,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,733 : 121,834 = 121,834 : x
  2. Step 2: Convert to fraction form
    55,733/121,834 = 121,834/x
  3. Step 3: Cross multiply
    55,733x = 121,834 × 121,834
  4. Step 4: Simplify right side
    55,733x = 14,843,523,556
  5. Step 5: Solve for x
    x = 14,843,523,556/55,733
  6. Step 6: Final answer
    x = 266,332.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.